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      "name": "2.2.3 Daily Returns of the S&P 500 Index",
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      "authorship_tag": "ABX9TyOZUF53VZ/BU4dNtTg0S+O6",
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        "<a href=\"https://colab.research.google.com/github/Farmhouse121/Adventures-in-Financial-Data-Science/blob/main/Book/Section%202.2%20Abnormality%20of%20Financial%20Distributions/Section%202.2.3%20Daily%20Returns%20of%20the%20S%26P%20500%20Index.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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          "text": [
            "Installing yfinance and getting the data...\n",
            "\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n",
            "google-colab 1.0.0 requires requests~=2.23.0, but you have requests 2.27.1 which is incompatible.\n",
            "datascience 0.10.6 requires folium==0.2.1, but you have folium 0.8.3 which is incompatible.\u001b[0m\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "  import pandas.util.testing as tm\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\r[*********************100%***********************]  1 of 1 completed\n"
          ]
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              "                   Open         High          Low        Close    Adj Close  \\\n",
              "Date                                                                          \n",
              "1957-03-04    44.060001    44.060001    44.060001    44.060001    44.060001   \n",
              "1957-03-05    44.220001    44.220001    44.220001    44.220001    44.220001   \n",
              "1957-03-06    44.230000    44.230000    44.230000    44.230000    44.230000   \n",
              "1957-03-07    44.209999    44.209999    44.209999    44.209999    44.209999   \n",
              "1957-03-08    44.070000    44.070000    44.070000    44.070000    44.070000   \n",
              "...                 ...          ...          ...          ...          ...   \n",
              "2022-03-22  4469.100098  4522.000000  4469.100098  4511.609863  4511.609863   \n",
              "2022-03-23  4493.100098  4501.069824  4455.810059  4456.240234  4456.240234   \n",
              "2022-03-24  4469.979980  4520.580078  4465.169922  4520.160156  4520.160156   \n",
              "2022-03-25  4522.910156  4546.029785  4501.069824  4543.060059  4543.060059   \n",
              "2022-03-28  4541.089844  4575.649902  4517.689941  4575.520020  4575.520020   \n",
              "\n",
              "                  Volume    Return  \n",
              "Date                                \n",
              "1957-03-04  1.890000e+06  0.731595  \n",
              "1957-03-05  1.860000e+06  0.363141  \n",
              "1957-03-06  1.840000e+06  0.022610  \n",
              "1957-03-07  1.830000e+06 -0.045219  \n",
              "1957-03-08  1.630000e+06 -0.316669  \n",
              "...                  ...       ...  \n",
              "2022-03-22  3.962880e+09  1.130411  \n",
              "2022-03-23  4.014360e+09 -1.227270  \n",
              "2022-03-24  3.573430e+09  1.434391  \n",
              "2022-03-25  3.577520e+09  0.506617  \n",
              "2022-03-28  2.019462e+09  0.714496  \n",
              "\n",
              "[16381 rows x 7 columns]"
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              "      <th></th>\n",
              "      <th>Open</th>\n",
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              "      <th>Low</th>\n",
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              "      <th>1957-03-04</th>\n",
              "      <td>44.060001</td>\n",
              "      <td>44.060001</td>\n",
              "      <td>44.060001</td>\n",
              "      <td>44.060001</td>\n",
              "      <td>44.060001</td>\n",
              "      <td>1.890000e+06</td>\n",
              "      <td>0.731595</td>\n",
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              "    <tr>\n",
              "      <th>1957-03-05</th>\n",
              "      <td>44.220001</td>\n",
              "      <td>44.220001</td>\n",
              "      <td>44.220001</td>\n",
              "      <td>44.220001</td>\n",
              "      <td>44.220001</td>\n",
              "      <td>1.860000e+06</td>\n",
              "      <td>0.363141</td>\n",
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              "    <tr>\n",
              "      <th>1957-03-06</th>\n",
              "      <td>44.230000</td>\n",
              "      <td>44.230000</td>\n",
              "      <td>44.230000</td>\n",
              "      <td>44.230000</td>\n",
              "      <td>44.230000</td>\n",
              "      <td>1.840000e+06</td>\n",
              "      <td>0.022610</td>\n",
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              "    <tr>\n",
              "      <th>1957-03-07</th>\n",
              "      <td>44.209999</td>\n",
              "      <td>44.209999</td>\n",
              "      <td>44.209999</td>\n",
              "      <td>44.209999</td>\n",
              "      <td>44.209999</td>\n",
              "      <td>1.830000e+06</td>\n",
              "      <td>-0.045219</td>\n",
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              "    <tr>\n",
              "      <th>1957-03-08</th>\n",
              "      <td>44.070000</td>\n",
              "      <td>44.070000</td>\n",
              "      <td>44.070000</td>\n",
              "      <td>44.070000</td>\n",
              "      <td>44.070000</td>\n",
              "      <td>1.630000e+06</td>\n",
              "      <td>-0.316669</td>\n",
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              "      <th>...</th>\n",
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              "      <th>2022-03-22</th>\n",
              "      <td>4469.100098</td>\n",
              "      <td>4522.000000</td>\n",
              "      <td>4469.100098</td>\n",
              "      <td>4511.609863</td>\n",
              "      <td>4511.609863</td>\n",
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              "      <td>1.130411</td>\n",
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              "      <th>2022-03-23</th>\n",
              "      <td>4493.100098</td>\n",
              "      <td>4501.069824</td>\n",
              "      <td>4455.810059</td>\n",
              "      <td>4456.240234</td>\n",
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              "      <td>4.014360e+09</td>\n",
              "      <td>-1.227270</td>\n",
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              "      <th>2022-03-24</th>\n",
              "      <td>4469.979980</td>\n",
              "      <td>4520.580078</td>\n",
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          },
          "metadata": {},
          "execution_count": 2
        }
      ],
      "source": [
        "print(\"Installing yfinance and getting the data...\")\n",
        "!pip install yfinance 1>/dev/null\n",
        "from yfinance import download\n",
        "import pandas as pd\n",
        "import numpy as np ;\n",
        "import matplotlib.pyplot as pl\n",
        "from statsmodels.base.model import GenericLikelihoodModel\n",
        "from datetime import datetime\n",
        "zero,one,two,five,hundred=0e0,1e0,2e0,5e0,1e2 # some friendly numbers\n",
        "half,GoldenRatio=one/two,(one+np.sqrt(five))/two\n",
        "\n",
        "# get the daily returns of the S&P 500 \n",
        "SPX=download('^GSPC','1957-03-01').dropna()\n",
        "SPX['Return']=SPX['Adj Close'].pct_change()*hundred\n",
        "SPX.index=pd.DatetimeIndex(SPX.index).to_period('D')\n",
        "SPX.dropna(inplace=True)\n",
        "SPX.loc[SPX[\"Volume\"]==0,\"Volume\"]=np.nan\n",
        "SPX"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Figure 2.1\n",
        "figure,plot=pl.subplots(figsize=(10*GoldenRatio,10))\n",
        "SPX['Adj Close'].plot(ax=plot,color='blue')\n",
        "figure.suptitle('\\nS&P 500 Index',fontsize=22)\n",
        "plot.set_title('Daily Closes, %s to %s' % (SPX.index[0],SPX.index[-1]),fontsize=18)\n",
        "plot.set_ylabel(None)\n",
        "plot.set_xlabel(None);"
      ],
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          "height": 663
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        "id": "wNqwBZ61d0v7",
        "outputId": "1fc5812d-bc5e-4546-efc8-88e5cf96a25a"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1164.98x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Figure 2.2\n",
        "figure,plot=pl.subplots(figsize=(10*GoldenRatio,10))\n",
        "SPX['Adj Close'].plot(ax=plot,color='blue')\n",
        "figure.suptitle('\\nS&P 500 Index',fontsize=22)\n",
        "plot.set_title('Daily Closes, %s to %s' % (SPX.index[0],SPX.index[-1]),fontsize=18)\n",
        "plot.set_yscale('log')\n",
        "plot.set_ylabel(None)\n",
        "plot.set_xlabel(None);"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 663
        },
        "id": "7GLJLYhHd1pF",
        "outputId": "c940a19d-b3b5-4c4d-d1c5-bbedb4b4944d"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1164.98x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Figure 2.3\n",
        "from scipy.stats import norm\n",
        "estimates=norm.fit(SPX['Return'])\n",
        "model=norm(*estimates)\n",
        "figure,plot=pl.subplots(figsize=(10*GoldenRatio,10))\n",
        "samples,bins,patches=plot.hist(SPX['Return'],bins=np.linspace(-5,5,101),label=\"\"\"Entries: %d\n",
        "$\\\\hat{\\\\mu}$:%12.6f\n",
        "$\\\\hat{\\\\sigma}$:%12.6f\"\"\" % (SPX[\"Return\"].count(),estimates[-2],estimates[-1]))\n",
        "plot.plot(bins,model.pdf(bins)*sum(samples)*(bins[-1]-bins[0])/len(bins),'-r')\n",
        "plot.set_xlabel(\"Daily Return/%\",fontsize=14)\n",
        "plot.set_ylabel(\"Frequency\",fontsize=14)\n",
        "figure.suptitle(\"\\nSelf Evident Non-Normality of S&P 500 Daily Returns\",fontsize=22)\n",
        "plot.set_title(\"%s to %s\" % (SPX.index[0],SPX.index[-1]),fontsize=18)\n",
        "pl.setp(plot.legend(loc='upper right',fontsize=11).texts,family='monospace');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 681
        },
        "id": "sMalCouDsF4Q",
        "outputId": "50f24030-f94c-4e1c-a6f5-6efdd7075332"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1164.98x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Figure 2.4\n",
        "from scipy.stats import gennorm # gennorm is parameterized in such a manner that kappa=1/beta and sigma=scale/(2^kappa)\n",
        "estimates=gennorm.fit(SPX['Return'])\n",
        "model=gennorm(*estimates)\n",
        "figure,plot=pl.subplots(figsize=(10*GoldenRatio,10))\n",
        "samples,bins,patches=plot.hist(SPX['Return'],bins=np.linspace(-5,5,101),label=\"\"\"Entries: %d\n",
        "$\\\\hat{\\\\mu}$:%12.6f\n",
        "$\\\\hat{\\\\sigma}$:%12.6f\n",
        "$\\\\hat{\\\\kappa}$:%12.6f\"\"\" % (SPX[\"Return\"].count(),estimates[-2],estimates[-1]/np.power(two,estimates[0]),one/estimates[0]))\n",
        "plot.plot(bins,model.pdf(bins)*sum(samples)*(bins[-1]-bins[0])/len(bins),'-r')\n",
        "plot.set_xlabel(\"Daily Return/%\",fontsize=14)\n",
        "plot.set_ylabel(\"Frequency\",fontsize=14)\n",
        "figure.suptitle(\"\\nFit of S&P 500 Daily Returns to Generalized Error Distribution\",fontsize=22)\n",
        "plot.set_title(\"%s to %s\" % (SPX.index[0],SPX.index[-1]),fontsize=18)\n",
        "pl.setp(plot.legend(loc='upper right',fontsize=11).texts,family='monospace');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 681
        },
        "id": "r-ML6vGh8Nms",
        "outputId": "66458bff-add6-475d-e074-f312a10a2b51"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1164.98x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        ""
      ],
      "metadata": {
        "id": "GrJXrm4_8YPT"
      },
      "execution_count": 6,
      "outputs": []
    }
  ]
}
